Performance comparison of Taylor series approximation and CORDIC algorithm for open-loop polar transmitters

A digital phase wrapping modulation (DPM) open-loop polar transmitter can be applied to a wideband communication system by converting in-phase and quadrature signals to envelope and phase signals and then employing the signal mapping process. In this paper, we investigate application of the Taylor series approximation to the Cartesian to polar coordinate conversion part of a DPM polar transmitter for wideband OFDM systems. For this purpose, we perform computer simulations to measure mean square errors of both approaches and to find the minimum order for the Taylor series approximation compatible to allowable error of the CORDIC algorithm in terms of hardware design.